\relax 
\ifx\hyper@anchor\@undefined
\global \let \oldcontentsline\contentsline
\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global \let \oldnewlabel\newlabel
\gdef \newlabel#1#2{\newlabelxx{#1}#2}
\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\let \contentsline\oldcontentsline
\let \newlabel\oldnewlabel}
\else
\global \let \hyper@last\relax 
\fi

\@writefile{toc}{\beamer@endinputifotherversion {3.07pt}}
\@writefile{nav}{\beamer@endinputifotherversion {3.07pt}}
\select@language{english}
\@writefile{toc}{\select@language{english}}
\@writefile{lof}{\select@language{english}}
\@writefile{lot}{\select@language{english}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{3}{3/3}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{4}{4/4}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{5}{5/8}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {5}{8}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{6}{9/13}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {9}{13}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{7}{14/14}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{8}{15/15}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{9}{16/16}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{10}{17/19}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {17}{19}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{11}{20/23}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {20}{23}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{12}{24/24}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {24}{24}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{24}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{24}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{24}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {24}}}
\@writefile{nav}{\headcommand {\def \inserttotalframenumber {12}}}
